Elliptic curve search results

Results (12 matches)

  Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
11130.e1	11130e2	11130.e	11130e	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2 \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1$	$1$		$0$	$10752$	$0.677459$	$1907039182132729/1003402890$	$0.91063$	$3.77620$	$1$	$[1, 1, 0, -2583, -51597]$	\(y^2+xy=x^3+x^2-2583x-51597\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[ ]$	$1$
33390.bk1	33390bp2	33390.bk	33390bp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( 2 \cdot 3^{12} \cdot 5 \cdot 7^{2} \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1$	$1$		$0$	$86016$	$1.226765$	$1907039182132729/1003402890$	$0.91063$	$4.01075$	$1$	$[1, -1, 1, -23252, 1369869]$	\(y^2+xy+y=x^3-x^2-23252x+1369869\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[ ]$	$1$
55650.dp1	55650cz2	55650.dp	55650cz	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( 2 \cdot 3^{6} \cdot 5^{7} \cdot 7^{2} \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1$	$1$		$0$	$258048$	$1.482178$	$1907039182132729/1003402890$	$0.91063$	$4.10375$	$1$	$[1, 0, 0, -64588, -6320458]$	\(y^2+xy=x^3-64588x-6320458\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[ ]$	$1$
77910.bn1	77910bm2	77910.bn	77910bm	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 53 \)	\( 2 \cdot 3^{6} \cdot 5 \cdot 7^{8} \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1.976784937$	$1$		$4$	$516096$	$1.650414$	$1907039182132729/1003402890$	$0.91063$	$4.16039$	$1$	$[1, 0, 1, -126593, 17318018]$	\(y^2+xy+y=x^3-126593x+17318018\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[(162, 952)]$	$1$
89040.bs1	89040cl2	89040.bs	89040cl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{13} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$0.760972183$	$1$		$7$	$258048$	$1.370605$	$1907039182132729/1003402890$	$0.91063$	$3.81703$	$1$	$[0, 1, 0, -41336, 3219540]$	\(y^2=x^3+x^2-41336x+3219540\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[(124, 126)]$	$1$
166950.bm1	166950dl2	166950.bm	166950dl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 53 \)	\( 2 \cdot 3^{12} \cdot 5^{7} \cdot 7^{2} \cdot 53^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$3.019582179$	$1$		$12$	$2064384$	$2.031483$	$1907039182132729/1003402890$	$0.91063$	$4.27698$	$1$	$[1, -1, 0, -581292, 170652366]$	\(y^2+xy=x^3-x^2-581292x+170652366\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[(393, 1473), (453, 138)]$	$1$
233730.cc1	233730cc2	233730.cc	233730cc	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 53 \)	\( 2 \cdot 3^{12} \cdot 5 \cdot 7^{8} \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1$	$4$	$2$	$0$	$4128768$	$2.199718$	$1907039182132729/1003402890$	$0.91063$	$4.32388$	$1$	$[1, -1, 1, -1139333, -467586493]$	\(y^2+xy+y=x^3-x^2-1139333x-467586493\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[ ]$	$1$
267120.fa1	267120fa2	267120.fa	267120fa	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{13} \cdot 3^{12} \cdot 5 \cdot 7^{2} \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$3.452259508$	$1$		$3$	$2064384$	$1.919912$	$1907039182132729/1003402890$	$0.91063$	$4.00896$	$1$	$[0, 0, 0, -372027, -87299606]$	\(y^2=x^3-372027x-87299606\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[(950, 20412)]$	$1$
356160.ds1	356160ds2	356160.ds	356160ds	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{19} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1$	$1$		$1$	$2064384$	$1.717178$	$1907039182132729/1003402890$	$0.91063$	$3.72843$	$1$	$[0, -1, 0, -165345, 25921665]$	\(y^2=x^3-x^2-165345x+25921665\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[ ]$	$1$
356160.fr1	356160fr2	356160.fr	356160fr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{19} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1.162237741$	$1$		$7$	$2064384$	$1.717178$	$1907039182132729/1003402890$	$0.91063$	$3.72843$	$1$	$[0, 1, 0, -165345, -25921665]$	\(y^2=x^3+x^2-165345x-25921665\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[(-237, 96)]$	$1$
389550.fl1	389550fl2	389550.fl	389550fl	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 53 \)	\( 2 \cdot 3^{6} \cdot 5^{7} \cdot 7^{8} \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$12.37804479$	$1$		$0$	$12386304$	$2.455132$	$1907039182132729/1003402890$	$0.91063$	$4.39039$	$1$	$[1, 1, 1, -3164813, 2164752281]$	\(y^2+xy+y=x^3+x^2-3164813x+2164752281\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[(7188609/104, 20833689557/104)]$	$1$
445200.a1	445200a2	445200.a	445200a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( 2^{13} \cdot 3^{6} \cdot 5^{7} \cdot 7^{2} \cdot 53^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6360$	$12$	$0$	$1.001621483$	$1$		$25$	$6193152$	$2.175323$	$1907039182132729/1003402890$	$0.91063$	$4.08716$	$1$	$[0, -1, 0, -1033408, 404509312]$	\(y^2=x^3-x^2-1033408x+404509312\)	2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.?	$[(712, 5400), (552, 1400)]$	$1$

  Download displayed columns for results to